4245008064 has 224 divisors, whose sum is σ = 13202472960. Its totient is φ = 1190323200.

The previous prime is 4245008029. The next prime is 4245008093. The reversal of 4245008064 is 4608005424.

4245008064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504447 + ... + 1507265.

Almost surely, 2^4245008064 is an apocalyptic number.

4245008064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601236480).

4245008064 is an abundant number, since it is smaller than the sum of its proper divisors (8957464896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4245008064 is a wasteful number, since it uses less digits than its factorization.

4245008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4245008064 is about 65153.7264014883. The cubic root of 4245008064 is about 1619.1714586537.

The spelling of 4245008064 in words is "four billion, two hundred forty-five million, eight thousand, sixty-four".